Solve 0.8=1/2*a*8.1^2

$$0.8 = 1 / 2 \times a \times 8.1 ^ { 2 }$$

Solve for a

$$a=\frac{160}{6561}\approx 0.024386526$$

Steps for Solving Linear Equation

Calculate 8.1 to the power of 2 and get 65.61.

$$0.8=\frac{1}{2}a\times 65.61$$

Convert decimal number 65.61 to fraction \frac{6561}{100}.

$$0.8=\frac{1}{2}a\times \frac{6561}{100}$$

Multiply \frac{1}{2} times \frac{6561}{100} by multiplying numerator times numerator and denominator times denominator.

$$0.8=\frac{1\times 6561}{2\times 100}a$$

Do the multiplications in the fraction \frac{1\times 6561}{2\times 100}.

$$0.8=\frac{6561}{200}a$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{6561}{200}a=0.8$$

Multiply both sides by \frac{200}{6561}, the reciprocal of \frac{6561}{200}.

$$a=0.8\times \frac{200}{6561}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$a=\frac{4}{5}\times \frac{200}{6561}$$

Multiply \frac{4}{5} times \frac{200}{6561} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{4\times 200}{5\times 6561}$$

Do the multiplications in the fraction \frac{4\times 200}{5\times 6561}.

$$a=\frac{800}{32805}$$

Reduce the fraction \frac{800}{32805} to lowest terms by extracting and canceling out 5.

$$a=\frac{160}{6561}$$